Form 3 Mathematics
Each morning Gataro does one of the following exercises: Cycling, jogging or weightlifting. He chooses the exercise to do by rolling a fair die. The faces of the die are numbered 1, 1,2, 3, 4 and 5.
If the score is 2, 3 or 5, he goes for cycling. If the score is 1, he goes for jogging.
If the score is 4, he goes for weightlifting.
(a) Find the probability that:
(i) on a given morning, he goes for cycling or weightlifting;
ii) on two consecutive mornings he goes for jogging
(b) In the afternoon, Gataro plays either football or hockey but never both games. The probability that Gataro plays hockey in the afternoon is:
1/3 if he cycled;
2/5 if he jogged and
1/2 if he did weightlifting in the morning.
Complete the tree diagram below by writing the appropriate probability on each branch.
(c) Find the probability that on any given day:
(i) Gataro plays football;
(ii) Gataro neither jogs nor plays football.
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